Mass per volume density.
Carats per Teaspoon to Milligrams per Cubic yard Converter — ct/tsp to mg/yd3
Convert Carat per Teaspoon (ct/tsp) to Milligram per Cubic yard (mg/yd3) using the exact conversion factor (1 carat per teaspoon = 31,023,210.39 milligram per cubic yard). See the formula, worked examples, and conversion table.
Carats per Teaspoon to Milligrams per Cubic yard converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Context values
Some unit families need one extra value for a physically accurate result.
Mass per volume density.
Result = input x 40.57682724 / 1.30795062e-6.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Teaspoon to Milligrams per Cubic yard
Carat per Teaspoon and Milligram per Cubic yard both measure density — mass per unit volume — a property used to identify materials, check manufacturing quality, and predict whether something floats or sinks. As a fixed reference point, water has a density of exactly 1000 kg/m³ (1 g/cm³, 1 g/mL) at its temperature of maximum density, which is why many density figures in science and engineering are quoted relative to water. Both are mass per volume density units.
Formula
milligrams per cubic yard = carats per teaspoon × 31023210.3896
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per teaspoon equals 40.5768272422 base units, and 1 milligram per cubic yard equals 0.00000130795061931 base units, so dividing one by the other gives the direct carat per teaspoon-to-milligram per cubic yard factor of 31023210.3896.
Simple example
1 ct/tsp × 31023210.39 = 31,023,210.39 mg/yd3
1 carat per teaspoon = 31,023,210.39 milligrams per cubic yard.
Real-world example
1,000 ct/tsp × 31023210.39 = 31,023,210,390 mg/yd3
1,000 carats per teaspoon = 31,023,210,390 milligrams per cubic yard.
Conversion table
| Carat per Teaspoon (ct/tsp) | Milligram per Cubic yard (mg/yd3) |
|---|---|
| 0.1 ct/tsp | 3,102,321.039 mg/yd3 |
| 1 ct/tsp | 31,023,210.39 mg/yd3 |
| 10 ct/tsp | 310,232,103.9 mg/yd3 |
| 100 ct/tsp | 3,102,321,039 mg/yd3 |
| 1,000 ct/tsp | 31,023,210,390 mg/yd3 |
| 10,000 ct/tsp | 310,232,103,900 mg/yd3 |
Reverse conversion: Milligram per Cubic yard to Carat per Teaspoon
1 mg/yd3 × 3.223393e-8 = 3.223393e-8 ct/tsp
1 milligram per cubic yard = 3.223393e-8 carats per teaspoon.
carats per teaspoon = milligrams per cubic yard × 3.223393e-8
For a page dedicated to this direction, see Milligram per Cubic yard to Carat per Teaspoon.
Understanding the Carat per Teaspoon (ct/tsp)
Mass per volume density.
Understanding the Milligram per Cubic yard (mg/yd3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many milligrams per cubic yard are in 1 carat per teaspoon?
1 carat per teaspoon equals 31,023,210.39 milligrams per cubic yard, using the exact defined conversion factor rather than an estimate.
How do I convert carat per teaspoon to milligram per cubic yard?
Multiply the carat per teaspoon value by 31023210.39. The converter above does this instantly to whatever precision you set.
How do I convert milligram per cubic yard back to carat per teaspoon?
Use the reverse factor: 1 milligram per cubic yard equals 3.223393e-8 carats per teaspoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per teaspoon?
Carat per Teaspoon (ct/tsp) is a unit of density.
What is a milligram per cubic yard?
Milligram per Cubic yard (mg/yd3) is a unit of density.
Is the carat per teaspoon to milligram per cubic yard conversion exact?
Yes. Both carat per teaspoon and milligram per cubic yard are defined by fixed standards rather than physical artifacts, so the factor of 31023210.39 used above is exact to as many digits as you choose to display.
What's the difference between density and mass concentration?
Density is the mass of a pure substance or material per unit volume. Mass concentration is the mass of one component — like a dissolved solute — within a mixture's total volume. The two use the same kind of units but describe different physical situations.